Pith Number

pith:PPJYHG4U

pith:2023:PPJYHG4UMVDYCNMLIT4VD33Z4Y

not attested not anchored not stored refs pending

A new class of copulas having dependence range larger than FGM-type copulas

Ashok Kumar Pathak, Mohd. Arshad, Swaroop Georgy Zachariah

arxiv:2304.02231 v1 · 2023-04-05 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPJYHG4UMVDYCNMLIT4VD33Z4Y}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T08:59:58.301259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd3839b94654781358b44f951ef79e6044122a27b0b28605aa3d219fb037442

Aliases

arxiv: 2304.02231 · arxiv_version: 2304.02231v1 · doi: 10.48550/arxiv.2304.02231 · pith_short_12: PPJYHG4UMVDY · pith_short_16: PPJYHG4UMVDYCNML · pith_short_8: PPJYHG4U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PPJYHG4UMVDYCNMLIT4VD33Z4Y \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7bd3839b94654781358b44f951ef79e6044122a27b0b28605aa3d219fb037442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc1d3f70890366a7916cd1ff3df3d058651adbac4cb9562f2a3d40c24bb7542",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-04-05T05:18:58Z",
    "title_canon_sha256": "e731959912a0bfffa2c0dbd49a348a909d21ae7a87ef6ecd020ca34cbc25c5f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.02231",
    "kind": "arxiv",
    "version": 1
  }
}